2012/09/14 by Octavio Andrés González Estrada, Octavio Andrés González‐Estrada, Estrada, Octavio Andrés González +12 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Classical Physics (physics.class-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Numerical methods in engineering #cs.NA #math.NA #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1209.3102
in Computational Mechanics
openalex publication_date 2012/09/14 · arxiv created 2013/10/15 · arxiv updated 2013/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
During the last decade there has been an increase on the use of goal-oriented error estimates which help to quantify and control the local error on a quantity of interest (QoI) that might result relevant for design purposes (e.g. the mean stress or mean displacement in a particular area, the stress intensity factor for fracture problems,...). Residual-based error estimators have been used to estimate the error in quantities of interest for finite element approximations. This work presents a recovery-based error estimation technique for QoI whose main characteristic is the use of an enhanced version of the Superconvergent Patch Recovery (SPR) technique developed by Zienkiewicz and Zhu. This enhanced version of the SPR technique, used to recover the primal and dual solutions, provides a nearly statically admissible stress field that results in accurate estimations of the error in the QoI.